# -*- coding: utf-8 -*-
"""
    Time    : 2021/1/3 3:48 下午
    Author  : Thinkgamer
    File    : 011-盛最多水的容器.py
    Desc    : https://leetcode-cn.com/problems/container-with-most-water/
"""
"""
给你 n 个非负整数 a1，a2，...，an，每个数代表坐标中的一个点(i,ai) 。
在坐标内画 n 条垂直线，垂直线 i 的两个端点分别为(i,ai) 和 (i, 0) 。找出其中的两条线，使得它们与 x 轴共同构成的容器可以容纳最多的水。

说明：你不能倾斜容器。

示例1：
输入：[1,8,6,2,5,4,8,3,7]
输出：49
解释：图中垂直线代表输入数组 [1,8,6,2,5,4,8,3,7]。在此情况下，容器能够容纳水（表示为蓝色部分）的最大值为 49。

示例 2：
输入：height = [1,1]
输出：1

示例 3：
输入：height = [4,3,2,1,4]
输出：16

示例 4：
输入：height = [1,2,1]
输出：2
"""


# 思路：两层for 循环
# 超时
def max_area_v1(height):
	max_areas = (len(height)-1) * min(height[0], height[-1])
	i = 0
	while i < len(height):
		if height[i] >= height[0]:
			j = len(height)-1
			while j > i:
				if height[j] >= height[-1]:
					area = (j - i) * min(height[j], height[i])
					if area > max_areas:
						max_areas = area
				j -= 1
		i += 1
	return max_areas


# 参考评论，定义两个指针，分别指向最左边和最右边，此时长度最大，然后就是判断左指针向右移动，还是右指针向左移动
# 判断的规则的是 哪个值小，哪个移动，因为无论 左指针向右移动 还是右指针 向左移动，长度都是减1，为了高度更大，应该是值小的那个移动
# 88ms 31.92% | 16.3mb 5.10%
def max_area_v2(height):
	i = 0
	j = len(height) - 1
	max_areas = min(height[i], height[j]) * j
	while i < j:
		if height[i] > height[j]:
			j -= 1
		else:
			i += 1
		area = min(height[i], height[j]) * (j-i)
		if area > max_areas:
			max_areas = area
	return max_areas


for height in [
	[1, 2, 3, 4, 5, 25, 24, 3, 4],
	[1, 8, 6, 2, 5, 4, 8, 3, 7],
	[1, 1],
	[4, 3, 2, 1, 4],
	[1, 2, 1],
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1,14352,14353,14354,14355,14356,14357,14358,14359,14360,14361,14362,14363,14364,14365,14366,14367,14368,14369,14370,14371,14372,14373,14374,14375,14376,14377,14378,14379,14380,14381,14382,14383,14384,14385,14386,14387,14388,14389,14390,14391,14392,14393,14394,14395,14396,14397,14398,14399,14400,14401,14402,14403,14404,14405,14406,14407,14408,14409,14410,14411,14412,14413,14414,14415,14416,14417,14418,14419,14420,14421,14422,14423,14424,14425,14426,14427,14428,14429,14430,14431,14432,14433,14434,14435,14436,14437,14438,14439,14440,14441,14442,14443,14444,14445,14446,14447,14448,14449,14450,14451,14452,14453,14454,14455,14456,14457,14458,14459,14460,14461,14462,14463,14464,14465,14466,14467,14468,14469,14470,14471,14472,14473,14474,14475,14476,14477,14478,14479,14480,14481,14482,14483,14484,14485,14486,14487,14488,14489,14490,14491,14492,14493,14494,14495,14496,14497,14498,14499,14500,14501,14502,14503,14504,14505,14506,14507,14508,14509,14510,14511,14512,14513,14514,14515,14516,14517,14518,14519,14520,14521,14522,14523,14524,14525,14526,14527,14528,14529,14530,14531,14532,14533,14534,14535,14536,14537,14538,14539,14540,14541,14542,14543,14544,14545,14546,14547,14548,14549,14550,14551,14552,14553,14554,14555,14556,14557,14558,14559,14560,14561,14562,14563,14564,14565,14566,14567,14568,14569,14570,14571,14572,14573,14574,14575,14576,14577,14578,14579,14580,14581,14582,14583,14584,14585,14586,14587,14588,14589,14590,14591,14592,14593,14594,14595,14596,14597,14598,14599,14600,14601,14602,14603,14604,14605,14606,14607,14608,14609,14610,14611,14612,14613,14614,14615,14616,14617,14618,14619,14620,14621,14622,14623,14624,14625,14626,14627,14628,14629,14630,14631,14632,14633,14634,14635,14636,14637,14638,14639,14640,14641,14642,14643,14644,14645,14646,14647,14648,14649,14650,14651,14652,14653,14654,14655,14656,14657,14658,14659,14660,14661,14662,14663,14664,14665,14666,14667,14668,14669,14670,14671,14672,14673,14674,14675,14676,14677,14678,14679,14680,14681,14682,14683,14684,14685,14686,14687,14688,14689,14690,14691,14692,14693,14694,14695,14696,14697,14698,14699,14700,14701,14702,14703,14704,14705,14706,14707,14708,14709,14710,14711,14712,14713,14714,14715,14716,14717,14718,14719,14720,14721,14722,14723,14724,14725,14726,14727,14728,14729,14730,14731,14732,14733,14734,14735,14736,14737,14738,14739,14740,14741,14742,14743,14744,14745,14746,14747,14748,14749,14750,14751,14752,14753,14754,14755,14756,14757,14758,14759,14760,14761,14762,14763,14764,14765,14766,14767,14768,14769,14770,14771,14772,14773,14774,14775,14776,14777,14778,14779,14780,14781,14782,14783,14784,14785,14786,14787,14788,14789,14790,14791,14792,14793,14794,14795,14796,14797,14798,14799,14800,14801,14802,14803,14804,14805,14806,14807,14808,14809,14810,14811,14812,14813,14814,14815,14816,14817,14818,14819,14820,14821,14822,14823,14824,14825,14826,14827,14828,14829,14830,14831,14832,14833,14834,14835,14836,14837,14838,14839,14840,14841,14842,14843,14844,14845,14846,14847,14848,14849,14850,14851,14852,14853,14854,14855,14856,14857,14858,14859,14860,14861,14862,14863,14864,14865,14866,14867,14868,14869,14870,14871,14872,14873,14874,14875,14876,14877,14878,14879,14880,14881,14882,14883,14884,14885,14886,14887,14888,14889,14890,14891,14892,14893,14894,14895,14896,14897,14898,14899,14900,14901,14902,14903,14904,14905,14906,14907,14908,14909,14910,14911,14912,14913,14914,14915,14916,14917,14918,14919,14920,14921,14922,14923,14924,14925,14926,14927,14928,14929,14930,14931,14932,14933,14934,14935,14936,14937,14938,14939,14940,14941,14942,14943,14944,14945,14946,14947,14948,14949,14950,14951,14952,14953,14954,14955,14956,14957,14958,14959,14960,14961,14962,14963,14964,14965,14966,14967,14968,14969,14970,14971,14972,14973,14974,14975,14976,14977,14978,14979,14980,14981,14982,14983,14984,14985,14986,14987,14988,14989,14990,14991,14992,14993,14994,14995,14996,14997,14998,14999,15000],
]:
	result = max_area_v2(height)
	print(result)